What is the Greatest Common Factor of 49491 and 49500?

Greatest common factor (GCF) of 49491 and 49500 is 9.

GCF(49491,49500) = 9

We will now calculate the prime factors of 49491 and 49500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49491 and 49500.

How to find the GCF of 49491 and 49500?

We will first find the prime factorization of 49491 and 49500. After we will calculate the factors of 49491 and 49500 and find the biggest common factor number .

Step-1: Prime Factorization of 49491

Prime factors of 49491 are 3, 13, 47. Prime factorization of 49491 in exponential form is:

49491 = 3⁴ × 13¹ × 47¹

Step-2: Prime Factorization of 49500

Prime factors of 49500 are 2, 3, 5, 11. Prime factorization of 49500 in exponential form is:

49500 = 2² × 3² × 5³ × 11¹

Step-3: Factors of 49491

List of positive integer factors of 49491 that divides 49491 without a remainder.

1, 3, 9, 13, 27, 39, 47, 81, 117, 141, 351, 423, 611, 1053, 1269, 1833, 3807, 5499, 16497

Step-4: Factors of 49500

List of positive integer factors of 49500 that divides 49491 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 125, 132, 150, 165, 180, 198, 220, 225, 250, 275, 300, 330, 375, 396, 450, 495, 500, 550, 660, 750, 825, 900, 990, 1100, 1125, 1375, 1500, 1650, 1980, 2250, 2475, 2750, 3300, 4125, 4500, 4950, 5500, 8250, 9900, 12375, 16500, 24750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49491 and 49500. The biggest common factor number is the GCF number.
So the greatest common factor 49491 and 49500 is 9.

Also check out the Least Common Multiple of 49491 and 49500